Nonlinear Supratransmission

Details Nonlinear Supratransmission Nonlinear Supratransmission

2003-05-16

arxiv.org/abs/cond-mat/0305391v1

J. Phys., Condens. Matter 15 (2003) 2933

Physics

Condensed Matter

Scientific paper

10.1088/0953-8984/15/17/341

A nonlinear system possessing a natural forbidden band gap can transmit energy of a signal with a frequency in the gap, as recently shown for the nonlinear chain of coupled pendula [Phys Rev Lett 89 (2002) 134102]. This process of nonlinear supratransmission, occurring at a threshold exactly predictable in many cases, is shown to have a simple experimental realization with a mechanical chain of pendula coupled by a coil spring. It is then analyzed in more detail by first going to different (non-integrable) systems which do sustain nonlinear supratransmission. Then a Josephson transmission line (one dimensional array of short Josephson junctions coupled through super-conducting wires), is shown to sustain also nonlinear supratransmission, though being related to a different class of boundary conditions, and despite the presence of damping, finiteness and discreteness. Finally the mechanism at the origin of nonlinear supratransmission is a nonlinear instability, and it is briefly discussed here.

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